Hi, looked through the paper, had some trouble because I have trouble reading high level math.
Since I am self taught from a very young age, the way I see things is different.
I hated school, they conflated data regurgitation with knowledge.
Memorizing is okay for a few weeks, but by understanding it, learning is for a lifetime.
Anyway, looking through it, I found what is to me a parallel.
It looks to me like you are saying that the barycenter offsets of the planets causes a gravitic eddy effect in the solar plasma.
With gravitic forces alternately offsetting, adding, subtracting from the purely magnetic(ionic?) flow of the plasma?
The combination of these offsets forming eddies that furl and unfurl, sometimes unwinding all the way past the surface of the sun?
Kind of a sub roche interaction akin to ferrofluids reacting to magnets?
I am asking because it reminds me of the interaction between the moon and earth.
Driving the tides mainly, but also providing impetus and flexure for continental drift.
Could/Would that make volcanoes the equivalent type of byproduct as solar flares?
On another note.
For plotting purposes of the barycenters as offsets.
I suggest you start with something like this.
https://gist.github.com/alex-quiterio/5659190Which is a javascript driven spirograph.
Nominally it only contains two spirals, however, more can be added.
This would permit you plot the end shape of N cycles, adjusting phases as you go.
Then rotate the barycenter orbit, or do a tear off to compare it to sun spot activity.
Beware though, the barycenter will move in and out of the solar body, so be sure your library takes that into account.
You could either plot it as an offset against true solar center as a gross comparison.
Or compare rotation phases of known phenomenon to look for offsets.
For anyone wanting a quick reference of barycenter offsets.
http://www.sjsu.edu/faculty/watkins/centermass.htmWhich can then be looked at while remembering the sun takes 24.47 days to rotate on its own axis.
Sorry to ramble, but I hope I managed to actually ask my question somewhere in there.
I hope the spirograph thing for shapes will help you.
Janus.